| Base | Representation |
|---|---|
| bin | 1111000110001… |
| … | …01101101010000 |
| 3 | 22211021220221200 |
| 4 | 13203011231100 |
| 5 | 224404421203 |
| 6 | 20322151200 |
| 7 | 3065261463 |
| oct | 743055520 |
| 9 | 284256850 |
| 10 | 126638928 |
| 11 | 65536779 |
| 12 | 364b2500 |
| 13 | 2030c9a0 |
| 14 | 12b672da |
| 15 | b1b79a3 |
| hex | 78c5b50 |
126638928 has 120 divisors (see below), whose sum is σ = 388282440. Its totient is φ = 38292480.
The previous prime is 126638923. The next prime is 126638929. The reversal of 126638928 is 829836621.
126638928 is a `hidden beast` number, since 1 + 2 + 6 + 638 + 9 + 2 + 8 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 22353984 + 104284944 = 4728^2 + 10212^2 .
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126638923) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113638 + ... + 114746.
It is an arithmetic number, because the mean of its divisors is an integer number (3235687).
Almost surely, 2126638928 is an apocalyptic number.
126638928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 126638928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194141220).
126638928 is an abundant number, since it is smaller than the sum of its proper divisors (261643512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126638928 is a wasteful number, since it uses less digits than its factorization.
126638928 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1197 (or 1188 counting only the distinct ones).
The product of its digits is 248832, while the sum is 45.
The square root of 126638928 is about 11253.3962873437. The cubic root of 126638928 is about 502.1757557738.
The spelling of 126638928 in words is "one hundred twenty-six million, six hundred thirty-eight thousand, nine hundred twenty-eight".
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